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34352252255040 = 263550117141009
BaseRepresentation
bin1111100111110010000011…
…10010101111101101000000
311111122001011112011001212120
413303321001302233231000
514000311403034130130
6201021112401324240
710143603556225656
oct763710162575500
9144561145131776
1034352252255040
11aa44787922575
123a29843936680
131622532602595
1486a92d31cdd6
153e88aa8c7910
hex1f3e41cafb40

34352252255040 has 112 divisors (see below), whose sum is σ = 109090181981760. Its totient is φ = 9158771220480.

The previous prime is 34352252254997. The next prime is 34352252255047. The reversal of 34352252255040 is 4055225225343.

It is a junction number, because it is equal to n+sod(n) for n = 34352252254983 and 34352252255001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34352252255047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1240056 + ... + 8381064.

It is an arithmetic number, because the mean of its divisors is an integer number (974019481980).

Almost surely, 234352252255040 is an apocalyptic number.

34352252255040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34352252255040 is an abundant number, since it is smaller than the sum of its proper divisors (74737929726720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34352252255040 is a wasteful number, since it uses less digits than its factorization.

34352252255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146040 (or 7146030 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 34352252255040 in words is "thirty-four trillion, three hundred fifty-two billion, two hundred fifty-two million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 5011 10022 15033 20044 25055 30066 40088 50110 60132 75165 80176 100220 120264 150330 160352 200440 240528 300660 320704 400880 481056 601320 801760 962112 1202640 1603520 2405280 4810560 7141009 14282018 21423027 28564036 35705045 42846054 57128072 71410090 85692108 107115135 114256144 142820180 171384216 214230270 228512288 285640360 342768432 428460540 457024576 571280720 685536864 856921080 1142561440 1371073728 1713842160 2285122880 3427684320 6855368640 35783596099 71567192198 107350788297 143134384396 178917980495 214701576594 286268768792 357835960990 429403153188 536753941485 572537537584 715671921980 858806306376 1073507882970 1145075075168 1431343843960 1717612612752 2147015765940 2290150150336 2862687687920 3435225225504 4294031531880 5725375375840 6870450451008 8588063063760 11450750751680 17176126127520 34352252255040